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Nondivisibility among character degrees II: Nonsolvable groups
Author(s) -
Malle Gunter,
Moretó Alexander
Publication year - 2007
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdm082
Subject(s) - divisibility rule , group (periodic table) , mathematics , character (mathematics) , pure mathematics , physics , geometry , quantum mechanics
We say that a finite group G is an NDAD‐group (no divisibility among degrees) if for any 1 < a < b in the set of degrees of the complex irreducible characters of G, a does not divide b . In this article, we determine the nonsolvable NDAD‐groups. Together with the work of Lewis, Moretó and Wolf ( J. Group Theory 8 (2005)), this settles a problem raised by Berkovich and Zhmud’, which asks for a classification of the NDAD‐groups.